MathDB

3

Part of 2008 IberoAmerican Olympiad For University Students

Problems(1)

x+1/x^x<2 - OIMU 2008 Problem 3

Source:

8/28/2010
Prove that x+1xx<2x+\frac{1}{x^x}<2 for 0<x<10<x<1.
inequalitiesinequalities proposed